On a quality measure for interval inclusions

IF 1.6 3区数学 Q3 COMPUTER SCIENCE, SOFTWARE ENGINEERING

BIT Numerical Mathematics Pub Date : 2024-05-13 DOI:10.1007/s10543-024-01020-1

Siegfried M. Rump, Takeshi Ogita

引用次数: 0

Abstract

Verification methods compute intervals which contain the solution of a given problem with mathematical rigour. In order to compare the quality of intervals some measure is desirable. We identify some anticipated properties and propose a method avoiding drawbacks of previous definitions.

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关于区间夹杂的质量度量

验证方法以严谨的数学方法计算包含给定问题解的区间。为了比较区间的质量，我们需要一些衡量标准。我们确定了一些预期的特性，并提出了一种避免以往定义缺点的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

BIT Numerical Mathematics 数学-计算机：软件工程

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The journal BIT has been published since 1961. BIT publishes original research papers in the rapidly developing field of numerical analysis. The essential areas covered by BIT are development and analysis of numerical methods as well as the design and use of algorithms for scientific computing. Topics emphasized by BIT include numerical methods in approximation, linear algebra, and ordinary and partial differential equations.